%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL639+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:10:25 PM UTC 2026
% Result : CounterSatisfiable 0.09s 0.39s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
& ~ p1(Y) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ p1(Y) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
& ~ p1(Y) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ p1(Y) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ? [X] :
( $true
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ? [X] :
( p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
& ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( ~ p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [Y,X] :
( sP1_prd(X,Y)
<=> ( p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [Y,X] :
( sP2_prd(X,Y)
<=> ( p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ? [X] :
( $true
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] : sP2_prd(X,Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ? [X] : sP1_prd(X,Y)
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
& ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] : sP0_prd(X,Y)
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(formula_renaming,[status(thm)],[f3,f6,f5,f4]) ).
fof(f8,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( $true
& ? [X] : r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] : sP2_prd(X,Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ? [X] : sP1_prd(X,Y)
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
& ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( ? [X] : sP0_prd(X,Y)
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f9,plain,
( ~ p1(sK13_skl)
& r1(sK11_skl,sK13_skl)
& ! [Y] :
( p1(Y)
| ~ r1(sK12_skl,Y) )
& r1(sK11_skl,sK12_skl)
& r1(sK0_skl,sK11_skl)
& ! [Y] :
( ( $true
& r1(Y,sK10_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( ~ p1(sK9_skl(Y))
& r1(Y,sK9_skl(Y)) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( ! [Y] :
( ~ p1(Y)
| ~ r1(sK8_skl(Y),Y) )
& r1(Y,sK8_skl(Y)) )
| ! [X] :
( ! [Y] :
( sP2_prd(sK7_skl(Y,X,Y),Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( ~ p1(sK6_skl(Y))
& r1(Y,sK6_skl(Y)) )
| sP1_prd(sK5_skl(Y),Y)
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( p1(sK4_skl(Y))
& r1(sK3_skl(Y),sK4_skl(Y))
& ~ p1(sK3_skl(Y))
& r1(Y,sK3_skl(Y)) )
| ! [X] :
( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ( ! [Y] :
( p1(Y)
| ~ r1(sK2_skl(Y),Y) )
& ~ p1(sK2_skl(Y))
& r1(Y,sK2_skl(Y)) )
| ! [X] :
( ! [Y] :
( sP0_prd(sK1_skl(Y,X,Y),Y)
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y,X,Y)),skolemize(X,sK2_skl(Y)),skolemize(X,sK3_skl(Y)),skolemize(Y,sK4_skl(Y)),skolemize(X,sK5_skl(Y)),skolemize(X,sK6_skl(Y)),skolemize(X,sK7_skl(Y,X,Y)),skolemize(X,sK8_skl(Y)),skolemize(X,sK9_skl(Y)),skolemize(X,sK10_skl(Y)),skolemize(Y,sK11_skl),skolemize(X,sK12_skl),skolemize(X,sK13_skl)],[f8]) ).
fof(f10,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p1(sK13_skl)
& r1(sK11_skl,sK13_skl) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(sK12_skl,Y) )
& r1(sK11_skl,sK12_skl) )
& r1(sK0_skl,sK11_skl) )
& ! [Y] :
( ? [X] : r1(Y,sK10_skl(Y))
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(sK9_skl(Y))
& r1(Y,sK9_skl(Y)) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(sK8_skl(Y),Y) )
& r1(Y,sK8_skl(Y)) )
| ! [X] :
( ! [Y] :
( ? [X] : sP2_prd(sK7_skl(Y,X,Y),Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(sK6_skl(Y))
& r1(Y,sK6_skl(Y)) )
| ? [X] : sP1_prd(sK5_skl(Y),Y)
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ? [X] :
( ? [Y] :
( p1(sK4_skl(Y))
& r1(sK3_skl(Y),sK4_skl(Y)) )
& ~ p1(sK3_skl(Y))
& r1(Y,sK3_skl(Y)) )
| ! [X] :
( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(sK2_skl(Y),Y) )
& ~ p1(sK2_skl(Y))
& r1(Y,sK2_skl(Y)) )
| ! [X] :
( ! [Y] :
( ? [X] : sP0_prd(sK1_skl(Y,X,Y),Y)
| p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(true_and_false_simplification,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,sK2_skl(X0))
| sP0_prd(sK1_skl(X2,X1,X0),X2)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ p1(sK2_skl(X0))
| sP0_prd(sK1_skl(X2,X1,X0),X2)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( p1(X3)
| ~ r1(sK2_skl(X0),X3)
| sP0_prd(sK1_skl(X2,X1,X0),X2)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( r1(X0,sK3_skl(X0))
| ~ p1(X3)
| ~ r1(X2,X3)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ p1(sK3_skl(X0))
| ~ p1(X3)
| ~ r1(X2,X3)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( r1(sK3_skl(X0),sK4_skl(X0))
| ~ p1(X3)
| ~ r1(X2,X3)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( p1(sK4_skl(X0))
| ~ p1(X3)
| ~ r1(X2,X3)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f18,plain,
! [X0] :
( r1(X0,sK6_skl(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f19,plain,
! [X0] :
( ~ p1(sK6_skl(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f20,plain,
! [X0,X1,X2] :
( r1(X0,sK8_skl(X0))
| sP2_prd(sK7_skl(X2,X1,X0),X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ p1(X3)
| ~ r1(sK8_skl(X0),X3)
| sP2_prd(sK7_skl(X2,X1,X0),X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
! [X0,X1,X2] :
( r1(X0,sK9_skl(X0))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ p1(sK9_skl(X0))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
! [X0] :
( r1(X0,sK10_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
r1(sK0_skl,sK11_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
r1(sK11_skl,sK12_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0] :
( p1(X0)
| ~ r1(sK12_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
r1(sK11_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
~ p1(sK13_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
! [Y,X] :
( ( p1(X)
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ( ( ~ p1(X)
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( ! [Y,X] :
( p1(X)
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ! [Y,X] :
( ( ~ p1(X)
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,plain,
! [Y,X] :
( ( ~ p1(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ( ( p1(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f36,plain,
( ! [Y,X] :
( ~ p1(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( p1(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f39,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ r1(X1,X0)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f40,plain,
! [Y,X] :
( ( ~ p1(X)
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ( ( p1(X)
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f41,plain,
( ! [Y,X] :
( ~ p1(X)
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( p1(X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ r1(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ p1(sK3_skl(sK11_skl))
| ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f15,f25]) ).
fof(f46,definition,
! [X0,X1,X2] :
( sQ0_spl
<=> ( ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
( sQ1_spl
<=> p1(sK3_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f46,f49]) ).
fof(f53,plain,
( ~ p1(sK6_skl(sK11_skl))
| sP1_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f19,f25]) ).
fof(f54,definition,
( sQ2_spl
<=> sP1_prd(sK5_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( ~ sQ2_spl
| sP1_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( sQ2_spl
| ~ sP1_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,definition,
( sQ3_spl
<=> p1(sK6_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ3_spl
| ~ p1(sK6_skl(sK11_skl)) ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f53,f54,f57]) ).
fof(f61,plain,
( ~ sQ2_spl
| r1(sK11_skl,sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f55,f37]) ).
fof(f62,plain,
( ~ sQ2_spl
| p1(sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f55,f38]) ).
fof(f63,plain,
! [X0,X1] :
( ~ p1(sK9_skl(sK11_skl))
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f23,f25]) ).
fof(f64,definition,
! [X0,X1] :
( sQ4_spl
<=> ( p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sQ4_spl
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,definition,
( sQ5_spl
<=> p1(sK9_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f63,f64,f67]) ).
fof(f71,plain,
r1(sK11_skl,sK10_skl(sK11_skl)),
inference(resolution,[status(thm)],[f24,f25]) ).
fof(f72,plain,
( ~ p1(sK13_skl)
| sP1_prd(sK13_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f39,f28]) ).
fof(f73,plain,
( ~ p1(sK12_skl)
| sP1_prd(sK12_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f39,f26]) ).
fof(f74,plain,
( ~ p1(sK11_skl)
| sP1_prd(sK11_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f39,f25]) ).
fof(f75,definition,
( sQ6_spl
<=> sP1_prd(sK13_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ6_spl
| sP1_prd(sK13_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( sQ6_spl
| ~ sP1_prd(sK13_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,definition,
( sQ7_spl
<=> p1(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f72,f75,f78]) ).
fof(f82,definition,
( sQ8_spl
<=> sP1_prd(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ8_spl
| sP1_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ8_spl
| ~ sP1_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ9_spl
<=> p1(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ9_spl
| p1(sK12_skl) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ9_spl
| ~ p1(sK12_skl) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f73,f82,f85]) ).
fof(f89,definition,
( sQ10_spl
<=> sP1_prd(sK11_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ10_spl
| sP1_prd(sK11_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( sQ10_spl
| ~ sP1_prd(sK11_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ11_spl
<=> p1(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ11_spl
| p1(sK11_skl) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( sQ11_spl
| ~ p1(sK11_skl) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f74,f89,f92]) ).
fof(f96,plain,
( p1(sK13_skl)
| sP0_prd(sK13_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f34,f28]) ).
fof(f97,plain,
( p1(sK12_skl)
| sP0_prd(sK12_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f34,f26]) ).
fof(f98,plain,
( p1(sK11_skl)
| sP0_prd(sK11_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f34,f25]) ).
fof(f99,definition,
( sQ12_spl
<=> sP0_prd(sK13_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ12_spl
| sP0_prd(sK13_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f96,f99,f78]) ).
fof(f103,definition,
( sQ13_spl
<=> sP0_prd(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ13_spl
| sP0_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ13_spl
| ~ sP0_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f97,f103,f85]) ).
fof(f107,definition,
( sQ14_spl
<=> sP0_prd(sK11_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ14_spl
| sP0_prd(sK11_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f109,plain,
( sQ14_spl
| ~ sP0_prd(sK11_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( sQ11_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f98,f107,f92]) ).
fof(f111,plain,
( r1(sK11_skl,sK6_skl(sK11_skl))
| sP1_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f18,f25]) ).
fof(f112,definition,
( sQ15_spl
<=> r1(sK11_skl,sK6_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ15_spl
| r1(sK11_skl,sK6_skl(sK11_skl)) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ15_spl
| ~ r1(sK11_skl,sK6_skl(sK11_skl)) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( sQ15_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f111,f54,f112]) ).
fof(f116,plain,
! [X0,X1] :
( r1(sK11_skl,sK9_skl(sK11_skl))
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f22,f25]) ).
fof(f117,definition,
( sQ16_spl
<=> r1(sK11_skl,sK9_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f116,f64,f117]) ).
fof(f121,plain,
! [X0,X1] :
( r1(sK11_skl,sK8_skl(sK11_skl))
| sP2_prd(sK7_skl(X1,X0,sK11_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f20,f25]) ).
fof(f122,definition,
! [X0,X1] :
( sQ17_spl
<=> ( sP2_prd(sK7_skl(X1,X0,sK11_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f123,plain,
! [X0,X1] :
( ~ sQ17_spl
| sP2_prd(sK7_skl(X1,X0,sK11_skl),X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ18_spl
<=> r1(sK11_skl,sK8_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f121,f122,f125]) ).
fof(f129,plain,
! [X0,X1,X2] :
( p1(sK4_skl(sK11_skl))
| ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f17,f25]) ).
fof(f130,definition,
( sQ19_spl
<=> p1(sK4_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ19_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f129,f46,f130]) ).
fof(f134,plain,
! [X0,X1] :
( ~ p1(sK2_skl(sK11_skl))
| sP0_prd(sK1_skl(X1,X0,sK11_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f12,f25]) ).
fof(f135,definition,
! [X0,X1] :
( sQ20_spl
<=> ( sP0_prd(sK1_skl(X1,X0,sK11_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f136,plain,
! [X0,X1] :
( ~ sQ20_spl
| sP0_prd(sK1_skl(X1,X0,sK11_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ21_spl
<=> p1(sK2_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f134,f135,f138]) ).
fof(f142,plain,
! [X0] :
( ~ sQ20_spl
| sP0_prd(sK1_skl(X0,sK13_skl,sK11_skl),X0)
| p1(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f136,f28]) ).
fof(f144,plain,
! [X0,X1] :
( r1(sK11_skl,sK2_skl(sK11_skl))
| sP0_prd(sK1_skl(X1,X0,sK11_skl),X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f11,f25]) ).
fof(f145,definition,
( sQ22_spl
<=> r1(sK11_skl,sK2_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ22_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f144,f135,f145]) ).
fof(f149,plain,
! [X0,X1,X2] :
( r1(sK11_skl,sK3_skl(sK11_skl))
| ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f14,f25]) ).
fof(f150,definition,
( sQ23_spl
<=> r1(sK11_skl,sK3_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( sQ23_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f149,f46,f150]) ).
fof(f154,plain,
! [X0,X1,X2] :
( r1(sK3_skl(sK11_skl),sK4_skl(sK11_skl))
| ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK11_skl,X0) ),
inference(resolution,[status(thm)],[f16,f25]) ).
fof(f155,definition,
( sQ24_spl
<=> r1(sK3_skl(sK11_skl),sK4_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ24_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f154,f46,f155]) ).
fof(f160,plain,
( ~ sQ10_spl
| p1(sK11_skl) ),
inference(resolution,[status(thm)],[f90,f38]) ).
fof(f162,plain,
( ~ sQ8_spl
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f83,f38]) ).
fof(f164,plain,
( ~ sQ6_spl
| p1(sK13_skl) ),
inference(resolution,[status(thm)],[f76,f38]) ).
fof(f165,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f29]) ).
fof(f166,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( ~ sQ14_spl
| ~ p1(sK11_skl) ),
inference(resolution,[status(thm)],[f108,f33]) ).
fof(f169,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f160]) ).
fof(f170,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( ~ sQ13_spl
| ~ p1(sK12_skl) ),
inference(resolution,[status(thm)],[f104,f33]) ).
fof(f173,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f172,f162]) ).
fof(f174,plain,
( ~ sQ13_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f177,plain,
( ~ p1(sK13_skl)
| sP2_prd(sK13_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f44,f28]) ).
fof(f178,plain,
( ~ p1(sK12_skl)
| sP2_prd(sK12_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f44,f26]) ).
fof(f179,plain,
( ~ p1(sK11_skl)
| sP2_prd(sK11_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f44,f25]) ).
fof(f180,definition,
( sQ25_spl
<=> sP2_prd(sK13_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ7_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f177,f180,f78]) ).
fof(f184,definition,
( sQ26_spl
<=> sP2_prd(sK12_skl,sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ26_spl
| sP2_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ26_spl
| ~ sP2_prd(sK12_skl,sK11_skl) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( ~ sQ9_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f178,f184,f85]) ).
fof(f188,definition,
( sQ27_spl
<=> sP2_prd(sK11_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ27_spl
| sP2_prd(sK11_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( ~ sQ11_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f179,f188,f92]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p1(X1)
| ~ r1(X0,X1)
| p1(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f47,f28]) ).
fof(f194,plain,
! [X0] :
( ~ sQ4_spl
| p1(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f65,f28]) ).
fof(f196,plain,
! [X0] :
( ~ sQ4_spl
| p1(X0)
| ~ r1(sK10_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f71,f65]) ).
fof(f197,plain,
( ~ p1(sK10_skl(sK11_skl))
| sP2_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f71,f44]) ).
fof(f198,plain,
( p1(sK10_skl(sK11_skl))
| sP0_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f71,f34]) ).
fof(f199,plain,
( ~ p1(sK10_skl(sK11_skl))
| sP1_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f71,f39]) ).
fof(f200,definition,
( sQ28_spl
<=> sP2_prd(sK10_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ28_spl
| sP2_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ29_spl
<=> p1(sK10_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ29_spl
| p1(sK10_skl(sK11_skl)) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ29_spl
| ~ p1(sK10_skl(sK11_skl)) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( ~ sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f197,f200,f203]) ).
fof(f207,definition,
( sQ30_spl
<=> sP0_prd(sK10_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ30_spl
| sP0_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ30_spl
| ~ sP0_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f198,f207,f203]) ).
fof(f211,definition,
( sQ31_spl
<=> sP1_prd(sK10_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ31_spl
| sP1_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ31_spl
| ~ sP1_prd(sK10_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( ~ sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f199,f211,f203]) ).
fof(f215,plain,
! [X0] :
( ~ sQ17_spl
| sP2_prd(sK7_skl(X0,sK10_skl(sK11_skl),sK11_skl),X0)
| ~ r1(sK10_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f123,f71]) ).
fof(f216,plain,
! [X0] :
( ~ sQ17_spl
| sP2_prd(sK7_skl(X0,sK13_skl,sK11_skl),X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f123,f28]) ).
fof(f217,plain,
! [X0] :
( ~ sQ17_spl
| sP2_prd(sK7_skl(X0,sK12_skl,sK11_skl),X0)
| ~ r1(sK12_skl,X0) ),
inference(resolution,[status(thm)],[f123,f26]) ).
fof(f219,plain,
( ~ sQ27_spl
| p1(sK11_skl) ),
inference(resolution,[status(thm)],[f189,f43]) ).
fof(f220,plain,
( ~ sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f219,f92,f188]) ).
fof(f222,plain,
( ~ sQ26_spl
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f185,f43]) ).
fof(f223,plain,
( ~ sQ26_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f172]) ).
fof(f224,plain,
( ~ sQ26_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( ~ sQ10_spl
| p1(sK11_skl) ),
inference(resolution,[status(thm)],[f90,f38]) ).
fof(f228,plain,
( ~ sQ8_spl
| p1(sK12_skl) ),
inference(resolution,[status(thm)],[f83,f38]) ).
fof(f229,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ2_spl
| sP2_prd(sK7_skl(X0,sK5_skl(sK11_skl),sK11_skl),X0)
| ~ r1(sK5_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f61,f123]) ).
fof(f230,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ2_spl
| p1(X0)
| ~ r1(sK5_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f61,f65]) ).
fof(f231,plain,
( ~ sQ2_spl
| ~ p1(sK5_skl(sK11_skl))
| sP2_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f61,f44]) ).
fof(f232,plain,
( ~ sQ2_spl
| p1(sK5_skl(sK11_skl))
| sP0_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f61,f34]) ).
fof(f234,definition,
( sQ32_spl
<=> sP2_prd(sK5_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ32_spl
| sP2_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ33_spl
<=> p1(sK5_skl(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ33_spl
| p1(sK5_skl(sK11_skl)) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( ~ sQ2_spl
| ~ sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f231,f234,f237,f54]) ).
fof(f241,definition,
( sQ34_spl
<=> sP0_prd(sK5_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ34_spl
| sP0_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ34_spl
| ~ sP0_prd(sK5_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( ~ sQ2_spl
| sQ33_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f232,f241,f237,f54]) ).
fof(f249,plain,
( ~ sQ31_spl
| p1(sK10_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f212,f38]) ).
fof(f251,plain,
( ~ sQ30_spl
| ~ p1(sK10_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f208,f33]) ).
fof(f252,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f249]) ).
fof(f253,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ28_spl
| p1(sK10_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f201,f43]) ).
fof(f256,plain,
( ~ sQ28_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f205]) ).
fof(f257,plain,
( ~ sQ28_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f258,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ15_spl
| sP2_prd(sK7_skl(X0,sK6_skl(sK11_skl),sK11_skl),X0)
| ~ r1(sK6_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f113,f123]) ).
fof(f259,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ15_spl
| p1(X0)
| ~ r1(sK6_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f113,f65]) ).
fof(f260,plain,
( ~ sQ15_spl
| ~ p1(sK6_skl(sK11_skl))
| sP2_prd(sK6_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f113,f44]) ).
fof(f261,plain,
( ~ sQ15_spl
| p1(sK6_skl(sK11_skl))
| sP0_prd(sK6_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f113,f34]) ).
fof(f262,plain,
( ~ sQ15_spl
| ~ p1(sK6_skl(sK11_skl))
| sP1_prd(sK6_skl(sK11_skl),sK11_skl) ),
inference(resolution,[status(thm)],[f113,f39]) ).
fof(f263,definition,
( sQ35_spl
<=> sP2_prd(sK6_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f260,f263,f57,f112]) ).
fof(f267,definition,
( sQ36_spl
<=> sP0_prd(sK6_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ36_spl
| sP0_prd(sK6_skl(sK11_skl),sK11_skl) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( ~ sQ15_spl
| sQ3_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f261,f267,f57,f112]) ).
fof(f271,definition,
( sQ37_spl
<=> sP1_prd(sK6_skl(sK11_skl),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f262,f271,f57,f112]) ).
fof(f275,plain,
( ~ sQ2_spl
| r1(sK11_skl,sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f55,f37]) ).
fof(f278,plain,
( ~ sQ31_spl
| p1(sK10_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f212,f38]) ).
fof(f287,plain,
( ~ sQ34_spl
| r1(sK11_skl,sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f242,f32]) ).
fof(f288,plain,
( ~ sQ34_spl
| ~ p1(sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f242,f33]) ).
fof(f289,plain,
( ~ sQ34_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f288,f62]) ).
fof(f290,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( ~ sQ36_spl
| r1(sK11_skl,sK6_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f268,f32]) ).
fof(f292,plain,
( ~ sQ36_spl
| ~ p1(sK6_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f268,f33]) ).
fof(f293,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ15_spl
| sP2_prd(sK7_skl(X0,sK6_skl(sK11_skl),sK11_skl),X0)
| ~ r1(sK6_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f113,f123]) ).
fof(f294,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ15_spl
| p1(X0)
| ~ r1(sK6_skl(sK11_skl),X0) ),
inference(resolution,[status(thm)],[f113,f65]) ).
fof(f303,plain,
( ~ sQ32_spl
| r1(sK11_skl,sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f235,f42]) ).
fof(f304,plain,
( ~ sQ32_spl
| p1(sK5_skl(sK11_skl)) ),
inference(resolution,[status(thm)],[f235,f43]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ17_spl
| sQ20_spl
| ~ sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| ~ sQ34_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL639+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:44:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.09/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.050953 seconds
% 0.09/0.42 % CPU time: 0.137507 seconds
% 0.09/0.42 % Total memory used: 17.915 MB
% 0.09/0.42 % Net memory used: 17.592 MB
%------------------------------------------------------------------------------